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Finding the Fourth Proportional to 6,866.12, 9,475.77 and 3,882.29

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Solution

The fourth proportional to 6,866.12, 9,475.77 and 3,882.29 is: 5,357.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,866.12 : 9,475.77 = 3,882.29 : x
  2. Step 2: Convert to fraction form
    6,866.12/9,475.77 = 3,882.29/x
  3. Step 3: Cross multiply
    6,866.12x = 9,475.77 × 3,882.29
  4. Step 4: Simplify right side
    6,866.12x = 36,787,639.73
  5. Step 5: Solve for x
    x = 36,787,639.73/6,866.12
  6. Step 6: Final answer
    x = 5,357.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.